A cherry farmer has 782,416 cherries to put into jars. It takes 62 cherries to fill one jar. After the farmer fills as many jars as he can, how many cherries will be left over?
Cherries
A cherry farmer has 782,416 cherries to put into jars. It takes 62 cherries to fill one jar. After the farmer fills as many jars as he can, how many cherries will be left over Cherries
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To find out how many cherries will be left over after filling the jars, you can use division and the modulus operation. Here’s how to do it step-by-step:
1. Divide the total number of cherries by the number of cherries per jar:
[
782,416 div 62 = 12,611
]
This means the farmer can fill 12,611 jars.
2. Calculate the total number of cherries used:
[
12,611 times 62 = 782,642
]
However, since we can’t have more cherries than we started with, let’s adjust this:
3. Instead, calculate how many cherries will be left over using:
[
782,416 mod 62
]
4. Perform the modulus operation:
[
782,416 div 62 = 12,611 quad text{(quotient)}
]
[
text{Remainder} = 782,416 – (12,611 times 62) = 782,416 – 782,642
]
This calculation shows we don’t need this part since we only need the remainder directly from the modulus.
5. Calculate the remainder:
[
782,416 mod 62 = 14
]
Thus, the number of